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Finding the Fourth Proportional to 3,315.70, 4,972.40 and 975.09

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Solution

The fourth proportional to 3,315.70, 4,972.40 and 975.09 is: 1,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,315.70 : 4,972.40 = 975.09 : x
  2. Step 2: Convert to fraction form
    3,315.70/4,972.40 = 975.09/x
  3. Step 3: Cross multiply
    3,315.70x = 4,972.40 × 975.09
  4. Step 4: Simplify right side
    3,315.70x = 4,848,537.52
  5. Step 5: Solve for x
    x = 4,848,537.52/3,315.70
  6. Step 6: Final answer
    x = 1,462.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.